λ
Integer Codex

8,624,025

32 × 52 × 38329
Deficient Odd Composite

For 8,624,025, the 18 positive divisors have a total of 15,446,990. Removing 8,624,025 leaves 6,822,965, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 38329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 15,446,990
Proper Divisor Sum 6,822,965
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8624023 ← → #8624027

Radix Representation

Decimal 8624025
Binary 100000111001011110011001 (24 bits)
Octal 0o40713631
Hexadecimal 0x839799

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 38,329 114,987 191,645 344,961 574,935 958,225 1,724,805 2,874,675 8,624,025

Collatz Trajectory (243 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,624,025 25,872,076 12,936,038 6,468,019 19,404,058 9,702,029 29,106,088 14,553,044 7,276,522 3,638,261 10,914,784 5,457,392 2,728,696 1,364,348 682,174 341,087 1,023,262 511,631 1,534,894 767,447 2,302,342 1,151,171 3,453,514 1,726,757 5,180,272 2,590,136 1,295,068 647,534 323,767 971,302 485,651 1,456,954 728,477 2,185,432 1,092,716 546,358 273,179 819,538 409,769 1,229,308 614,654 307,327 921,982 460,991 1,382,974 691,487 2,074,462 1,037,231 3,111,694 1,555,847 4,667,542 2,333,771 7,001,314 3,500,657 10,501,972 5,250,986 2,625,493 7,876,480 3,938,240 1,969,120

More profiles

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